In the construction of quadrilateral PQRS, with PQ = 3 cm, QR = 4 cm and PS = 5 cm, also, $∠$ SPQ = $70^{\circ}$ and $∠$ PQR = $90^{\circ}$ , which of the sides is to be taken as base and constructed first?

Q. A quadrilateral

P Q R S

constructed with

P Q = Q R = 3 c m

and

P S = R S = 4 c m

is a :

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A quadrilateral PQRS is to be constructed. Lenghts of PQ, QR, PS, and PR are known. Which additional measurement is required to construct PQRS uniquely?

The correct option is A QSFrom the data given, we know the measures of 3 sides and 1 diagonal. thus, if we know the measure of another diagonal, a unique quadrilateral can be constructed. Hence, the measure of QS is required.

The correct option is A $Q S$
From the data given, we know the measures of 3 sides and 1 diagonal. thus, if we know the measure of another diagonal, a unique quadrilateral can be constructed.
Hence, the measure of QS is required.